D'Alembert Strategy

The D'Alembert Strategy is a simple-to-learn betting system that you can apply to games like Roulette. Our experts at Casinoclaw will explain how to use it effectively to improve your chances of generating more wins.

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By Lars Wahlström - Updated 2024-02-14

Reading Time: 10 minutes

The D'Alembert Strategy: The Essentials

The D'Alembert strategy is a straightforward and easy-to-follow betting system that can benefit beginners in the gambling world. Simply adding 1 when you lose and subtracting 1 when you win is less likely to infringe upon the maximum betting limit of a table and requires a more modest bankroll to get started.

However, remember that while this system may give you a higher chance of making smaller gains, it does not guarantee consistent winnings or protect against losses.

When searching for the best Canadian casinos to try the D'Alembert strategy, consider the following factors:

  • Casino reputation and licensing.
  • Game selection, specifically those compatible with the D'Alembert system, such as roulette or baccarat.
  • Bonuses and promotions for new and existing players.
  • Safe and secure payment methods with fast processing times.

Being cautious and well-informed will help you maximize your casino experience using the D'Alembert betting system on selected table games. Remember to practice responsible gambling and never bet more than you can afford to lose.

What is the D'Alembert Strategy?

The D'Alembert roulette strategy is a popular betting system many casino enthusiasts use, particularly in roulette and similar online casino games. Developed by French mathematician Jean le Rond D'Alembert, this strategy is easy to learn and apply, providing players with an exciting and engaging gambling experience.

The system is based on even-money bets, where players increase their wager by one base unit after a loss and decrease it by one unit after a win. This approach balances gains and losses for a more controlled gaming experience.

Canada, known for its vibrant casino culture, offers various venues where gamblers can test their skills and luck using the D'Alembert strategy. Many land-based and online Canadian casinos boast roulette games catering to players of all skill levels.

In addition, these casinos prioritize fair play and responsible gaming practices, ensuring a safe and enjoyable experience for users.

Consider game availability, casino bonuses and promotional offers, and customer support quality to find the best Canadian casino for your specific needs and preferences.

Look for establishments that offer a diverse range of roulette games, enabling you to practice with the D'Alembert strategy and maybe even improve on it.

By selecting the right online casino to match your desired playing experience, you can embark on a thrilling gambling adventure while employing the tried and tested D'Alembert betting system.

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Understanding D'Alembert Strategy

Origins and Theory

The D'Alembert strategy is named after its creator, French mathematician Jean-Baptiste le Rond d'Alembert. He introduced the concept in the 18th century, initially focusing on even-chance bets such as coin tosses or red/black on roulette.

Its premise is based on increasing or decreasing bet amounts by a single unit after each win or loss, respectively.

D'Alembert reasoned that after a series of bets, the number of wins and losses would eventually increase, leading to profits by consistently adjusting stakes. It's important to note that despite the strategy's popularity in casinos, D'Alembert's initial argument about a better chance for head or tail after a series of losses was incorrect.

Pros and Cons


  • Simplicity: The D'Alembert strategy is easy to understand and implement, making it suitable for beginners with casino games.
  • Minimal risk: Pronounced fluctuations in bet sizes are unlikely, reducing the potential for massive losses, unlike other betting systems like the Martingale that aren't low-risk.


  • Slower profit growth: The D'Alembert strategy tends to generate profits slower than other methods because you decrease your wagers during a winning streak.
  • Imbalance in outcomes: While the original theory posits an equal number of wins and losses over time, reality often deviates from this by producing an inequality in outcomes.
Pros and Cons of the D'Alembert Strategy

Application in Casino Games

The D'Alembert strategy best suits games with even-money bets, such as Roulette or Baccarat. When applied to roulette, a player would increase their stake by one unit after a loss and decrease it after a win. For example, with C$1 increments:

  • Bet C$1 and lose → Increase by one unit → Bet C$2
  • Bet C$2 and win → Decrease by one unit → Bet C$1

Here's a brief comparison table between D'Alembert and Martingale's strategies:

StrategyIncrease/DecreaseBet Amount Limit
D'Alembert+1/-1 unitFewer limits
MartingaleDouble/HalveLarger limits

Remember that no betting strategy guarantees profits or immunity from losses. D'Alembert is simply a tool to manage your bankroll and bring some structure to your betting experience.

Use the D'Alembert strategy responsibly and adjust it according to the specific rules and betting limits of the casino games you choose to play.

Best Canadian Casino Choices

Top Online Casinos

When looking for the best Canadian casinos to apply the D'Alembert strategy, consider the following top online casinos:

  • Videoslots Casino: Known for its wide range of games, user-friendly interface, and excellent customer support.
  • LeoVegas Casino: Offers a variety of table games and slots along with generous bonuses.
  • PlayOJO Casino: Boasts high-quality graphics, a diverse game selection, and fast payout options.

Criteria for Selection

To ensure a great gaming experience while using the D'Alembert strategy, consider these factors when selecting a Canadian online casino:

  • Game variety: Look for casinos that offer a diverse selection of games, including roulette, where you can apply the D'Alembert strategy.
  • Licenses and regulation: Choose licensed and regulated casinos by reputable authorities, such as the Kahnawake Gaming Commission or the Malta Gaming Authority.
  • Security and safety: Ensure the casino uses SSL encryption and follows strict privacy policies to protect your personal information.
  • Customer support: Opt for casinos with responsive and helpful customer service, available 24/7 through multiple channels, such as live chat, phone, and email.

Additional Features

In addition to the above criteria, consider these extra features when selecting a Canadian online casino:

  • Payment options: Look for casinos that support various payment methods, such as credit cards, e-wallets, and bank transfers, to ensure convenient and secure transactions.
  • Casino Bonuses and Promotions: Enjoy generous welcome bonuses and ongoing promotions, enhancing your gaming experience and providing additional value.
  • Mobile compatibility: Choose an online casino compatible with various devices, including smartphones and tablets, allowing you to play on the go.
Best Casino Choices to apply the the D'Alembert Strategy

Implementing the D'Alembert Strategy in Canadian Casinos

Game Selection

The D'Alembert strategy suits even-money bets in games like roulette, blackjack, craps, and baccarat. When selecting your game, look for the following options in Canadian casinos:

  • Roulette (preferably European or French versions to minimize the house edge).
  • Blackjack (with favourable rule variations).
  • Baccarat (choose the version with lower commission rates).

Remember that no strategy can change the house edge, but combining sound game selection with D'Alembert can give you the best chances of succeeding.

Practice and Refinement

Before implementing the D'Alembert strategy in a real-money setting, practising your chosen game using free or demo versions available at Canadian casinos is crucial. This approach allows you to:

  • Gain a deeper understanding of the rules and gameplay.
  • Familiarize yourself with the betting interface.
  • Test various scenarios, which will better prepare you for the real thing.

Refine your skills by adjusting your betting plan based on your performance during practice sessions. Stick to a consistent bankroll management strategy and follow the D'Alembert progression prudently.

Managing Risk and Rewards

A crucial aspect of using D'Alembert effectively lies in managing your risks and rewards. Here are some tips to keep in mind:

  • Set a pre-defined loss limit and stick to it religiously.
  • Start with a small initial bet and adjust the next bet according to the D'Alembert progression.
  • Take breaks and walk away when necessary to remain focused and disciplined.

Remember that the D'Alembert strategy relies on the claim that wins and losses will even out over time. By managing risk and rewards, you can maximize your chances of enjoying successful gaming sessions at Canadian casinos.

Implementing D'Alembert Strategy

Using the D'Alembert Strategy in Sports Betting

As we have demonstrated above, you can apply the D'Alembert Strategy to many different casino games. However, you can also use it when betting on sports. Consider our tips below if you want to try it out.

  • Pick a sports event with odds of 2.00 or higher. It works best with events where there can be only two possible outcomes.
  • Determine your base unit (for example, C$5) and place your first wager.
  • If you lose, increase the base unit by one. C$5 + C$5 = C$10. Your next wager should be C$10 at odds of 2.00 or higher.
  • If you win, decrease the stake by one unit unless you already bet with your base unit. For instance, decrease the next bet from C$10 to C$5, but never bet lower than the initial base unit.

Other Popular Betting Systems

The D'alembert system works on many casino games. But if you are like us and wish to try something new, feel free to test your game on the following betting strategies.

Reverse D'alembert Strategy

The Reverse D'Alembert Strategy is a betting system that works opposite to the traditional D'Alembert system.

  • You begin with a base unit bet on an even-chance outcome.
  • Increase your bet by one unit if you win.
  • In case you lose, decrease the starting wager by one unit.

The Martingale System

The Martingale system is a popular betting strategy often used in casino games where there's a close to 50% chance of winning each bet. Here is how it works:

  • You start by betting a base unit, say $1, on an even-money bet.
  • If your wager loses, then you double your stake for the next round.
  • When you win, you go back to betting with the initial stake.
  • Continue with the process until you are satisfied with the results.

The Fibonacci System

The Fibonacci System is a betting strategy based on the famous Fibonacci sequence, a series of numbers where each number is the sum of the two preceding ones.

Firstly, please familiarize yourself with the Fibonacci sequence. The sequence starts like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. Each number is the sum of the two preceding numbers.

Here is a step-by-step explanation of how this betting strategy works:

  • Start with a bet equal to the first number in the sequence representing your betting unit. Usually, the smallest amount you can bet is C$1.
  • If you lose, please move to the next number in the Fibonacci sequence and bet that amount. So, if you start with C$1 and lose, your next bet is also $1. If you lose again, you bet C$2, and so on.
  • When you win, move back two numbers in the sequence and wager that amount. If you're still near the start of the sequence where moving back two numbers isn't possible, start over at the beginning.

The Labouchere system

The Labouchere strategy is also known as the Cancellation System or Split Martingale. It's a betting strategy that's more complex than the strategies like Martingale or Fibonacci.

You begin by writing down a sequence of numbers. This arrangement can be as long or as short as you like, and the numbers can be arbitrary. However, many people start with something simple, like 1-2-3.

Here is how you can apply Labouchere to an even-money bet:

  • Your bet amount is the sum of the first and last number in the sequence. For the 1-2-3 sequence in our example, this would be 1 + 3 = C$4.
  • If you win your bet, cross out the first and last numbers in your sequence. In our example from above, after a win, we would cross out the 1 and the 3, leaving only the 2. C$2 is our next bet.
  • If you lose the bet, please add the amount you wagered to the end of the sequence. So, in our example, if you lose the first bet, your sequence becomes 1-2-3-4. 1 + 4 is 5, meaning our next bet is C$5.
  • Continue until all numbers in the sequence are crossed out. The theory is that you will have won a sum of money equal to the total of the original sequence.

The Paroli System

The Paroli System is also known as Reverse Martingale. Here is how it works:

  • You begin with your base bet on any even-money outcome.
  • If successful, then double your initial wager for the next round.
  • Before the first bet, decide on a predetermined number of wins in a row at which you will stop doubling and return to the base bet. For instance, you could stop after three consecutive wins. So, if you win three times in a row, go back to betting with the base unit.
  • Return to the base bet after each loss.


What is the D'Alembert strategy?

The D'Alembert strategy is a negative progression betting system that aims to help players recover losses and make a profit. It is based on the principle that the chances of winning increase after a loss, and vice versa. In this strategy, you increase your first bet by one unit after each loss and decrease it by one unit after each win.

Does the D'Alembert strategy guarantee a profit?

No, like any betting system, the D'Alembert strategy does not guarantee a profit. It can effectively manage losses and provide a more structured approach to betting. However, it is important to understand that the outcome is still determined by chance, and winning or losing streaks can still occur.

Should I use the D'Alembert strategy?

The decision to use the D'Alembert strategy ultimately depends on personal preference. Some players find it appealing as it provides a structured approach to betting and helps manage losses. However, it is crucial to remember that no betting strategy can guarantee consistent profits, and gambling should always be done responsibly.

Can I use the D'Alembert strategy on American Roulette?

The D'Alembert roulette system works on American Roulette. Still, we recommend you use it on the European or French versions due to one less pocket on the roulette wheel ('00').



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